Kenan Thompson has opened up about his time as a child star at Nickelodeon and the new perspective he has gained on it following the release of “Quiet on Set: The Dark Side of Kids TV,” a new documentary series that features allegations of abuse against crew members at the network.

Thompson’s comments came Wednesday during an interview on the daytime talk show “Tamron Hall,” touching on his new production banner Afa, his record-breaking tenure on “Saturday Night Live” and his new memoir “When I Was Your Age.”

Thompson got started as a child performer, though, serving as an original cast member of the teenage-cast sketch show “All That” and starring alongside his peer Kel Mitchell in the sitcom “Kenan & Kel” and the feature film “Good Burger,” all of which were produced by Nickelodeon. During the interview with Hall, Thompson confirmed that he has not watched “Quiet on Set,...